Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > The loop transfer function of a system is giv... Start Learning for Free
The loop transfer function of a system is given by G(s) H(s) =10e-Ls/s. The phase crossover frequency is 5rad/s. The value of the dead time L is
- a)π/20
- b)π/10
- c)-π/20
- d)Zero
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The loop transfer function of a system is given by G(s) H(s) =10e-Ls/s...
Answer: b
Explanation: – π/2-180/π*L*5 = -π
5L =π/2
L =π/10.
Explanation: – π/2-180/π*L*5 = -π
5L =π/2
L =π/10.
Most Upvoted Answer
The loop transfer function of a system is given by G(s) H(s) =10e-Ls/s...
To find the value of the dead time L, we need to determine the phase shift caused by the transfer function G(s) H(s) at the phase crossover frequency.
The phase crossover frequency is the frequency at which the phase shift of the transfer function is equal to -180 degrees or π radians.
Given that the transfer function is G(s) H(s) = 10e^(-Ls)/s, we can express it in polar form as:
G(s) H(s) = 10e^(-Ls)/s = 10/s * e^(-Ls)
The magnitude of the transfer function is 10/s, which is a constant value.
To find the phase shift caused by the exponential term e^(-Ls), we need to evaluate it at the phase crossover frequency:
e^(-Ls) = e^(-L * 5) = e^(-5L)
Since the magnitude of e^(-5L) is always equal to 1, the phase shift caused by this term is zero.
Therefore, the phase shift caused by the transfer function G(s) H(s) is solely determined by the 10/s term.
At the phase crossover frequency, the magnitude of 10/s is 10/5 = 2.
Since the phase shift at the phase crossover frequency is -180 degrees or π radians, we can write the equation:
arctan(0/2) = -π
This equation is not solvable because the arctan(0/2) is equal to 0, not -π.
From this analysis, we can conclude that the transfer function G(s) H(s) = 10e^(-Ls)/s does not have a phase crossover frequency of 5 rad/s.
Therefore, there is not enough information provided to determine the value of the dead time L.
The phase crossover frequency is the frequency at which the phase shift of the transfer function is equal to -180 degrees or π radians.
Given that the transfer function is G(s) H(s) = 10e^(-Ls)/s, we can express it in polar form as:
G(s) H(s) = 10e^(-Ls)/s = 10/s * e^(-Ls)
The magnitude of the transfer function is 10/s, which is a constant value.
To find the phase shift caused by the exponential term e^(-Ls), we need to evaluate it at the phase crossover frequency:
e^(-Ls) = e^(-L * 5) = e^(-5L)
Since the magnitude of e^(-5L) is always equal to 1, the phase shift caused by this term is zero.
Therefore, the phase shift caused by the transfer function G(s) H(s) is solely determined by the 10/s term.
At the phase crossover frequency, the magnitude of 10/s is 10/5 = 2.
Since the phase shift at the phase crossover frequency is -180 degrees or π radians, we can write the equation:
arctan(0/2) = -π
This equation is not solvable because the arctan(0/2) is equal to 0, not -π.
From this analysis, we can conclude that the transfer function G(s) H(s) = 10e^(-Ls)/s does not have a phase crossover frequency of 5 rad/s.
Therefore, there is not enough information provided to determine the value of the dead time L.
Free Test
FREE
| Start Free Test |
Community Answer
The loop transfer function of a system is given by G(s) H(s) =10e-Ls/s...
0
 | Explore Courses for Electrical Engineering (EE) exam |  |
Top Courses for Electrical Engineering (EE)View all
Top Courses for Electrical Engineering (EE)
Question Description
The loop transfer function of a system is given by G(s) H(s) =10e-Ls/s. The phase crossover frequency is 5rad/s. The value of the dead time L isa)π/20b)π/10c)-π/20d)ZeroCorrect answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2026 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about The loop transfer function of a system is given by G(s) H(s) =10e-Ls/s. The phase crossover frequency is 5rad/s. The value of the dead time L isa)π/20b)π/10c)-π/20d)ZeroCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The loop transfer function of a system is given by G(s) H(s) =10e-Ls/s. The phase crossover frequency is 5rad/s. The value of the dead time L isa)π/20b)π/10c)-π/20d)ZeroCorrect answer is option 'B'. Can you explain this answer?.
The loop transfer function of a system is given by G(s) H(s) =10e-Ls/s. The phase crossover frequency is 5rad/s. The value of the dead time L isa)π/20b)π/10c)-π/20d)ZeroCorrect answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2026 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about The loop transfer function of a system is given by G(s) H(s) =10e-Ls/s. The phase crossover frequency is 5rad/s. The value of the dead time L isa)π/20b)π/10c)-π/20d)ZeroCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The loop transfer function of a system is given by G(s) H(s) =10e-Ls/s. The phase crossover frequency is 5rad/s. The value of the dead time L isa)π/20b)π/10c)-π/20d)ZeroCorrect answer is option 'B'. Can you explain this answer?.
Solutions for The loop transfer function of a system is given by G(s) H(s) =10e-Ls/s. The phase crossover frequency is 5rad/s. The value of the dead time L isa)π/20b)π/10c)-π/20d)ZeroCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE). Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free.
Here you can find the meaning of The loop transfer function of a system is given by G(s) H(s) =10e-Ls/s. The phase crossover frequency is 5rad/s. The value of the dead time L isa)π/20b)π/10c)-π/20d)ZeroCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The loop transfer function of a system is given by G(s) H(s) =10e-Ls/s. The phase crossover frequency is 5rad/s. The value of the dead time L isa)π/20b)π/10c)-π/20d)ZeroCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for The loop transfer function of a system is given by G(s) H(s) =10e-Ls/s. The phase crossover frequency is 5rad/s. The value of the dead time L isa)π/20b)π/10c)-π/20d)ZeroCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of The loop transfer function of a system is given by G(s) H(s) =10e-Ls/s. The phase crossover frequency is 5rad/s. The value of the dead time L isa)π/20b)π/10c)-π/20d)ZeroCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The loop transfer function of a system is given by G(s) H(s) =10e-Ls/s. The phase crossover frequency is 5rad/s. The value of the dead time L isa)π/20b)π/10c)-π/20d)ZeroCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Electrical Engineering (EE) tests.
| Explore Courses for Electrical Engineering (EE) exam | |
Top Courses for Electrical Engineering (EE)
Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
